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Finding the Fourth Proportional to 17,520.38, 24,178.12 and 11,232.75

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Solution

The fourth proportional to 17,520.38, 24,178.12 and 11,232.75 is: 15,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,520.38 : 24,178.12 = 11,232.75 : x
  2. Step 2: Convert to fraction form
    17,520.38/24,178.12 = 11,232.75/x
  3. Step 3: Cross multiply
    17,520.38x = 24,178.12 × 11,232.75
  4. Step 4: Simplify right side
    17,520.38x = 271,586,777.43
  5. Step 5: Solve for x
    x = 271,586,777.43/17,520.38
  6. Step 6: Final answer
    x = 15,501.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.